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A377479
Decimal expansion of the smallest positive real root of the equation cos(x) + x*sin(x) = 0.
2
2, 7, 9, 8, 3, 8, 6, 0, 4, 5, 7, 8, 3, 8, 8, 7, 1, 3, 6, 7, 2, 0, 2, 4, 8, 9, 0, 3, 1, 3, 9, 5, 7, 0, 6, 7, 0, 6, 3, 4, 6, 0, 8, 7, 9, 0, 7, 5, 4, 1, 0, 1, 0, 4, 3, 5, 9, 6, 4, 2, 1, 7, 1, 0, 5, 5, 6, 2, 4, 9, 5, 0, 8, 2, 7, 8, 5, 3, 5, 3, 2, 2, 6, 2, 5, 5, 0, 6, 5, 6, 8, 5, 3, 8, 4, 2, 6, 8, 7, 9
OFFSET
1,1
COMMENTS
The absolute value of the x-coordinate of the tangent point between the cosine graph and the straight line through the origin.
EXAMPLE
2.79838604578388713672024890313957...
MATHEMATICA
ndigits=100; First[RealDigits[First[x/.NSolve[Cos[x]+x Sin[x]==0, x, ndigits]], 10, ndigits]]
(* or *)
RealDigits[BesselJZero[-3/2, 1], 10, 100][[1]] (* Vaclav Kotesovec, Oct 31 2024 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stefano Spezia, Oct 29 2024
STATUS
approved